Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450be |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-127230912000000 = -1 · 212 · 39 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7983,466141] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:548:1] |
Generators of the group modulo torsion |
j |
4939055927/11169792 |
j-invariant |
L |
2.6094278359637 |
L(r)(E,1)/r! |
Ω |
0.40769728418013 |
Real period |
R |
3.2002026224229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150x1 1818m1 |
Quadratic twists by: -3 5 |